• Title/Summary/Keyword: Distribution Department

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A Heuristic Derivation of the Waiting Time Distribution of a GI/G/1 Queue (GI/G/1 대기행렬 대기시간 분포의 새로운 유도방법)

  • Lim, Dae Eun;Kim, Bokeun;Kim, Nam K.;Chae, Kyung C.
    • Journal of the Korean Operations Research and Management Science Society
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    • v.40 no.1
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    • pp.1-4
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    • 2015
  • This paper presents a heuristic approach to derive the Laplace-Stieltjes transform (LST) and the probability generating function (PGF) of the waiting time distributions of a continuous- and a discrete-time GI/G/1 queue, respectively. This is a new idea to derive the well-known results, the waiting time distribution of GI/G/1 queue, in a different way.

The Effects of Nanoparticles for Irradiation (방사선조사에서 나노 입자 혼합물의 영향)

  • Yea, Ji-Woon;Shin, Hyun-Jin
    • Journal of Yeungnam Medical Science
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    • v.28 no.2
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    • pp.145-152
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    • 2011
  • Background: To evaluate the changes in the radiation dose and temperature distribution on irradiated egg albumin and nanoparticle ($Fe_3O_4$) powder mixed egg albumin. Methods: A new type of phantom was designed by fabricating a $30{\times}30{\times}30cm$ acryl square inside a $3{\times}3{\times}3cm$ small square and dividing it into two parts. In the control group, only egg albumin was irradiated, and in the test group, 25 nm 20 mg/cc, 25 nm 40 mg/cc, and 1 um 40mg/cc nanoparticles with egg albumin were irradiated. The radiation isodose distributions and temperature changes were then observed. Results: No significant changes were observed in the radiation dose and temperature distribution. Conclusion: The nanoparticles were considered not to have had any effect on the radiation dose and temperature distribution under the experimental conditions. Further studies can be conducted based on the changes in the mixture material.

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Optimal designing of skip lot sampling plan of type SkSP-2 with double sampling plan as the reference plan under generalized exponential distribution

  • Suresh, K.K.;Kavithamani, M.
    • International Journal of Reliability and Applications
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    • v.15 no.2
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    • pp.77-84
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    • 2014
  • In this paper, a optimal designing methodology is proposed to determine the parameters for skip-lot sampling plan of type SkSP-2 plan with double sampling plan as reference plan, when the lifetime of the product follows generalized exponential distribution. The two points on the operating characteristic curve approach are used to find the optimal parameters for the proposed plan. The plan parameters are determined so as to minimize the average sample number subject to satisfying simultaneously both producer and consumer risks at the acceptable and limiting quality levels respectively.

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Analytical solutions for buckling of simply supported rectangular plates due to non-linearly distributed in-plane bending stresses

  • Jana, Prasun;Bhaskar, K.
    • Structural Engineering and Mechanics
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    • v.26 no.2
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    • pp.151-162
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    • 2007
  • Rigorous analytical solutions are obtained for the plane stress problem of a rectangular plate subjected to non-linearly distributed bending loads on two opposite edges. They are then used in a Galerkin type solution to obtain the corresponding convergent buckling loads. It is shown that the critical bending moment depends significantly on the actual edge load distribution and further the number of nodal lines of the buckled configuration can also be different from that corresponding to a linear antisymmetric distribution of the bending stresses. Results are tabulated for future use while judging approximate numerical solutions.

An efficient approximation method for phase-type distributions

  • Kim, Jung-Hee;Yoon, Bok-Sik
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1995.09a
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    • pp.99-107
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    • 1995
  • The Phase-type(PH) distribution, defined as a distribution of the time until the absorption in a finite continuous-time Markov chain state with one absorbing state, has been widely used for various stochastic modelling. But great computational burdens often make us hesitate to apply PH methods. In this paper, we propose a seemingly efficient approximation method for phase type distributions. We first describe methods to bound the first passage time distribution in continuous-time Markov chains. Next, we adapt these bounding methods to approximate phase-tupe distributions. Numerical computation results are given to verify their efficiency.

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Composition of Marine Algal Community at the Intertidal Zone in Gwangyang Bay, South Sea, Korea (한국 남해안 중부에 위치한 광양만 조간대의 해조상과 군집)

  • Choi, Chang-Geun;Huh, Sung-Hoi
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.41 no.3
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    • pp.201-207
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    • 2008
  • The seasonal variation and vertical distribution of the marine algal community were investigated using the quadrat method from February 2006 to January 2007 at 10 sites in Gwangyang Bay, Korea. In total, 48 red, 17 brown, and 13 green algal taxa were identified. The algal vertical distribution in the intertidal zone was characterized by Ulva pertusa, while the upper tidal zone was dominated by Gelidium divaricatum. The middle zone was primarily composed of Enteromorpha linza, Sargassum thunbergii, and Chondracanthus intermedia, whereas Hizikia fusiformis, Sargassum thunbergii, Gelidium amansii, and Corallina pilulifera characterized the low tidal zone. Results of cluster analysis indicated that algal composition fell into two groups, which were composed of species in the inland and open sea. In conclusion, the number of species, diversity, and abundance of vegetation in this area were remarkably reduced compared to previous studies in Gwangyang Bay.

DISTRIBUTION OF THE VALUES OF THE DERIVATIVE OF THE DIRICHLET L-FUNCTIONS AT ITS a-POINTS

  • Jakhlouti, Mohamed Taib;Mazhouda, Kamel
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.4
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    • pp.1141-1158
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    • 2017
  • In this paper, we study the value distribution of the derivative of a Dirichlet L-function $L^{\prime}(s,{\chi})$ at the a-points ${\rho}_{a,{\chi}}={\beta}_{a,{\chi}}+i{\gamma}_{a,{\chi}}$ of $L^{\prime}(s,{\chi})$. We give an asymptotic formula for the sum $${\sum_{{\rho}_{a,{\chi}};0<{\gamma}_{a,{\chi}}{\leq}T}\;L^{\prime}({\rho}_{a,{\chi}},{\chi})X^{{\rho}_{a,{\chi}}}\;as\;T{\rightarrow}{\infty}$$, where X is a fixed positive number and ${\chi}$ is a primitive character mod q. This work continues the investigations of Fujii [4-6], $Garunk{\check{s}}tis$ & Steuding [8] and the authors [12].

Distribution and morphological characteristics of Scopolia japonica Maxim. in Korea

  • Jang, Chang Gee;Park, Myung Soon;Nam, Bo Mi;Pak, Hubert H.;Eom, Jeong Ae;Chung, Gyu Young
    • Korean Journal of Plant Taxonomy
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    • v.41 no.3
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    • pp.271-279
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    • 2011
  • The morphological characteristics of the Korean Scopolia japonica Maxim., commonly known as 'Mi-chi-gwang-i-pul' in Korean, were re-evaluated in comparison with results from previous research, while the distribution map was formulated according to existing flora and voucher specimens. The result of the re-evaluation has shown that there are some distinctive discrepancies compared to the previous reports of some characteristics such as the color of the basal stem, numbers of lateral veins, apex shape of calyx and corolla including the color of corolla. The Korean Scopolia japonica Maxim is found throughout Korea except Jeju-do province. The intra-specific species such as S. parviflora (Dunn.) Nakai, S. lutescens Y.N. Lee and S. kwangdokensis Y.N. Lee were treated as synonyms of S. japonica Maxim. in this research.

A Goodness of Fit Tests Based on the Partial Kullback-Leibler Information with the Type II Censored Data

  • Park, Sang-Un;Lim, Jong-Gun
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.10a
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    • pp.233-238
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    • 2003
  • Goodness of fit test statistics based on the information discrepancy have been shown to perform very well (Vasicek 1976, Dudewicz and van der Meulen 1981, Chandra et al 1982, Gohkale 1983, Arizona and Ohta 1989, Ebrahimi et al 1992, etc). Although the test is well defined for the non-censored case, censored case has not been discussed in the literature. Therefore we consider a goodness of fit test based on the partial Kullback-Leibler(KL) information with the type II censored data. We derive the partial KL information of the null distribution function and a nonparametric distribution function, and establish a goodness of fit test statistic. We consider the exponential and normal distributions and made Monte Calro simulations to compare the test statistics with some existing tests.

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Comparison of tropospheric ozone derivation from TOMS and OMI

  • Kim, Jae-Hwan;Na, Sun-Mi
    • Proceedings of the KSRS Conference
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    • v.1
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    • pp.308-311
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    • 2006
  • This study compared between tropospheric column ozone by applying the SAM method to TOMS and OMI data for northern summer. Tropospheric ozone from the SAM represents a peak over the tropical Atlantic, where it is related with biomass burning. This feature is also seen in the distribution of the model and CO. Additionally, enhancement of the SAM ozone over the Middle East, and South and North America agrees well with the model and CO distribution. However, the SAM results show more ozone than the model results over the northern hemisphere, especially the ocean (e.g. the North Pacific and the North Atlantic). The tropospheric ozone distribution from OMI data shows more ozone than that from TOMS data. This can be caused by different viewing angle, sampling frequency, and a-priori ozone profiles between OMI and TOMS. The correlation between the SAM tropospheric ozone and CO is better than that between the model and CO in the tropics. However, that correlation is reversed in the midlatitude.

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